AbstractIn this article, we give a characterisation of the Baum–Connes assembly map with coefficients. The technical tools needed are the K-theory of C∗-categories, and equivariant KK-theory in the world of groupoids
We study the space of natural transformations from connective topological K-theory to algebraic L-th...
In part A (II) the uniqueness theorem for equivariant cohomology theories, (proved in part A (I)), i...
Given an ample groupoid, we construct a spectral sequence with groupoid homology with integer coeffi...
We give a new, conceptual proof and sharp generalization of a Theorem by Cary Malkiwiech [Mal17] abo...
AbstractWe define equivariant asymptotic morphisms between C0(X)-algebras and construct the category...
AbstractWe redefine the Baum–Connes assembly map using simplicial approximation in the equivariant K...
AbstractThe Isomorphism Conjectures are translated into the language of homotopical algebra, where t...
We develop techniques that allow us to convert isomorphisms in the homology of ample groupoids into ...
The aim of this thesis is to develop a higher index theory for proper and co-compact actions of ampl...
AbstractFor a discrete group Γ, we explicitly describe the rational Baum–Connes assembly map μ∗Γ⊗idC...
AbstractWe redefine the Baum–Connes assembly map using simplicial approximation in the equivariant K...
The Baum–Connes conjecture predicts that a certain assembly map is an isomorphism. We identify the h...
In their paper entitled "On quantitative operator K-theory", H. Oyono-Oyono and G. Yu introduced a r...
AbstractWe give a topological interpretation of the highest weight representations of Kac–Moody grou...
Let G be a group and let KH be homotopy algebraic K-theory. We prove that if G satisfies the rationa...
We study the space of natural transformations from connective topological K-theory to algebraic L-th...
In part A (II) the uniqueness theorem for equivariant cohomology theories, (proved in part A (I)), i...
Given an ample groupoid, we construct a spectral sequence with groupoid homology with integer coeffi...
We give a new, conceptual proof and sharp generalization of a Theorem by Cary Malkiwiech [Mal17] abo...
AbstractWe define equivariant asymptotic morphisms between C0(X)-algebras and construct the category...
AbstractWe redefine the Baum–Connes assembly map using simplicial approximation in the equivariant K...
AbstractThe Isomorphism Conjectures are translated into the language of homotopical algebra, where t...
We develop techniques that allow us to convert isomorphisms in the homology of ample groupoids into ...
The aim of this thesis is to develop a higher index theory for proper and co-compact actions of ampl...
AbstractFor a discrete group Γ, we explicitly describe the rational Baum–Connes assembly map μ∗Γ⊗idC...
AbstractWe redefine the Baum–Connes assembly map using simplicial approximation in the equivariant K...
The Baum–Connes conjecture predicts that a certain assembly map is an isomorphism. We identify the h...
In their paper entitled "On quantitative operator K-theory", H. Oyono-Oyono and G. Yu introduced a r...
AbstractWe give a topological interpretation of the highest weight representations of Kac–Moody grou...
Let G be a group and let KH be homotopy algebraic K-theory. We prove that if G satisfies the rationa...
We study the space of natural transformations from connective topological K-theory to algebraic L-th...
In part A (II) the uniqueness theorem for equivariant cohomology theories, (proved in part A (I)), i...
Given an ample groupoid, we construct a spectral sequence with groupoid homology with integer coeffi...
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